The hyperplanes of DQ(2n, K) and DQ- (2n+1, q) which arise from their spin-embeddings

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:114

Article

De Bruyn, Bart

关键词: (locally singular) hyperplane;    dual polar space;    spin-embedding;   

DOI  :  10.1016/j.jcta.2006.08.007

来源: Elsevier

【 摘 要 】

We characterize the hyperplanes of the dual polar spaces DQ(2n, K) and DQ(-) (2n + 1, q) which arise from their respective spin-embeddings. The hyperplanes of DQ(2n, K) which arise from its spin-embedding are precisely the locally singular hyperplanes of DQ(2n, K). The hyperplanes of DQ(-)(2n + 1, q) which arise from its spin-embedding are precisely the hyperplanes H of DQ(-) (2n + 1, q) which satisfy the following property: if Q is an ovoidal quad, then Q n H is a classical ovoid of Q. (c) 2006 Elsevier Inc. All rights reserved.

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